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Finding the Fourth Proportional to 10,261.50, 14,160.06 and 5,783.82

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Solution

The fourth proportional to 10,261.50, 14,160.06 and 5,783.82 is: 7,981.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.50 : 14,160.06 = 5,783.82 : x
  2. Step 2: Convert to fraction form
    10,261.50/14,160.06 = 5,783.82/x
  3. Step 3: Cross multiply
    10,261.50x = 14,160.06 × 5,783.82
  4. Step 4: Simplify right side
    10,261.50x = 81,899,238.23
  5. Step 5: Solve for x
    x = 81,899,238.23/10,261.50
  6. Step 6: Final answer
    x = 7,981.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.